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Finding the Fourth Proportional to 7,771.10, 10,724.03 and 4,414.05

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Solution

The fourth proportional to 7,771.10, 10,724.03 and 4,414.05 is: 6,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.10 : 10,724.03 = 4,414.05 : x
  2. Step 2: Convert to fraction form
    7,771.10/10,724.03 = 4,414.05/x
  3. Step 3: Cross multiply
    7,771.10x = 10,724.03 × 4,414.05
  4. Step 4: Simplify right side
    7,771.10x = 47,336,399.10
  5. Step 5: Solve for x
    x = 47,336,399.10/7,771.10
  6. Step 6: Final answer
    x = 6,091.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.